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Finding the Fourth Proportional to 138,602.26, 207,726.63 and 67,541.86

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Solution

The fourth proportional to 138,602.26, 207,726.63 and 67,541.86 is: 101,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,602.26 : 207,726.63 = 67,541.86 : x
  2. Step 2: Convert to fraction form
    138,602.26/207,726.63 = 67,541.86/x
  3. Step 3: Cross multiply
    138,602.26x = 207,726.63 × 67,541.86
  4. Step 4: Simplify right side
    138,602.26x = 14,030,242,961.73
  5. Step 5: Solve for x
    x = 14,030,242,961.73/138,602.26
  6. Step 6: Final answer
    x = 101,226.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.